The univalence conditions of some integral operators. (English) Zbl 1267.30054

In this article, the author generalizes some integral operators given by V. Pescar [Gen. Math. 14, No. 2, 77–84 (2006; Zbl 1164.30348)]. Then she studies the univalence conditions for the integral operators defined by the formulae (1.15), (1.16) and (1.17). Under certain conditions, she shows that the resulting functions are univalent.


30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)
30C55 General theory of univalent and multivalent functions of one complex variable
31A10 Integral representations, integral operators, integral equations methods in two dimensions


Zbl 1164.30348
Full Text: DOI


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